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Finding the Fourth Proportional to 415,079.36, 572,768.16 and 233,786.24

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Solution

The fourth proportional to 415,079.36, 572,768.16 and 233,786.24 is: 322,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,079.36 : 572,768.16 = 233,786.24 : x
  2. Step 2: Convert to fraction form
    415,079.36/572,768.16 = 233,786.24/x
  3. Step 3: Cross multiply
    415,079.36x = 572,768.16 × 233,786.24
  4. Step 4: Simplify right side
    415,079.36x = 133,905,314,518.12
  5. Step 5: Solve for x
    x = 133,905,314,518.12/415,079.36
  6. Step 6: Final answer
    x = 322,601.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.